Online GCD Calculator is useful to find the GCD of 219, 942, 474, 378 quickly. Get the easiest ways to solve the greatest common divisor of 219, 942, 474, 378 i.e 3 in different methods as follows.
Given Input numbers are 219, 942, 474, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 219 :
The positive integer divisors of 219 that completely divides 219 are.
1, 3, 73, 219
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (219, 942, 474, 378) = 3.
Given numbers are 219, 942, 474, 378
The list of prime factors of all numbers are
Prime factors of 219 are 3 x 73
Prime factors of 942 are 2 x 3 x 157
Prime factors of 474 are 2 x 3 x 79
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 219, 942, 474, 378 is 3.
Given numbers are 219, 942, 474, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(219, 942) = 68766
GCD(219, 942) = ( 219 x 942 ) / 68766
= 219 / 942
= 219
Step2:
LCM(3, 474) = 474
GCD(3, 474) = ( 3 x 474 ) / 474
= 3 / 474
= 3
Step3:
LCM(3, 378) = 378
GCD(3, 378) = ( 3 x 378 ) / 378
= 3 / 378
= 3
So, Greatest Common Divisor of 219, 942, 474, 378 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 219, 942, 474, 378
The greatest common divisor of numbers 219, 942, 474, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 219, 942, 474, 378 is 3.
1. What is the GCD of 219, 942, 474, 378?
GCD of given numbers 219, 942, 474, 378 is 3
2. How to calculate the greatest common divisor of 219, 942, 474, 378?
We can find the highest common divisor of 219, 942, 474, 378 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 219, 942, 474, 378 i.e 3.
3. How can I use the GCD of 219, 942, 474, 378Calculator?
Out the numbers 219, 942, 474, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.